122777708257 has 2 divisors, whose sum is σ = 122777708258. Its totient is φ = 122777708256.

The previous prime is 122777708213. The next prime is 122777708279. The reversal of 122777708257 is 752807777221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94377369681 + 28400338576 = 307209^2 + 168524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122777708257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122777708198 and 122777708207.

It is not a weakly prime, because it can be changed into another prime (122777700257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61388854128 + 61388854129.

It is an arithmetic number, because the mean of its divisors is an integer number (61388854129).

Almost surely, 2^122777708257 is an apocalyptic number.

It is an amenable number.

122777708257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122777708257 is an equidigital number, since it uses as much as digits as its factorization.

122777708257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5378240, while the sum is 55.

The spelling of 122777708257 in words is "one hundred twenty-two billion, seven hundred seventy-seven million, seven hundred eight thousand, two hundred fifty-seven".